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• Bitops/signed-byte-p

Basic-unsigned-byte-p-of-+

Adding N-bit unsigneds creates an N+1 bit unsigned.

ACL2's fancy unification stuff means this works fine in the common case that you're dealing with quoted constants for N and N+1. See also basic-unsigned-byte-p-of-+-with-cin.

Definitions and Theorems

Theorem: basic-unsigned-byte-p-of-+

(defthm basic-unsigned-byte-p-of-+
  (implies (and (unsigned-byte-p n a)
                (unsigned-byte-p n b))
           (unsigned-byte-p (+ 1 n) (+ a b))))